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Q.

If cos⁡(x−y)=acos⁡(x+y) , then cot⁡x cot⁡y is equal to

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a

a−1a+1

b

a+1a−1

c

a−1

d

a+1

answer is B.

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Detailed Solution

cos⁡(x−y)cos⁡(x+y)=a⇒cos⁡(x−y)+cos⁡(x+y)cos⁡(x−y)−cos⁡(x+y)=a+1a−1⇒cot⁡xcot⁡y=a+1a−1
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